Taxonomy for Mathematics Articles-11th Class: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
!S.No | !S.No | ||
!Chapters | !Chapters | ||
!Topics | |||
!'''Article Creator Name''' | |||
!'''अध्याय''' | !'''अध्याय''' | ||
!विषय | !विषय | ||
| Line 8: | Line 9: | ||
|1 | |1 | ||
|Sets | |Sets | ||
|Sets and their representations | |1.Sets and their representations | ||
|Ramamurthy | |||
Mani | |||
|समुच्चय | |समुच्चय | ||
|समुच्चय और उनका निरूपण | |[[समुच्चय और उनका निरूपण]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|The Empty Set | |2.The Empty Set | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|रिक्त समुच्चय | |[[रिक्त समुच्चय]] | ||
|- | |- | ||
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| | | | ||
|Finite and Infinite Sets | |3.Finite and Infinite Sets | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|परिमित और अपरिमित समुच्चय | |[[परिमित और अपरिमित समुच्चय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Equal Sets | |4.Equal Sets | ||
|Ramamurthy | |||
Mani | |||
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|समान समुच्चय | |[[समान समुच्चय]] | ||
|- | |- | ||
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| | | | ||
|Subsets | |5.Subsets | ||
|Mani | |||
| | | | ||
|उपसमुच्चय | |[[उपसमुच्चय]] | ||
|- | |||
| | |||
| | |||
|5.1 Subsets of set of real numbers | |||
|Mani | |||
| | |||
|[[वास्तविक संख्याओं के समुच्चय के उपसमुच्चय]] | |||
|- | |||
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| | |||
|5.2 Intervals as subsets of R | |||
|Mani | |||
| | |||
|[[अंतराल R के उपसमुच्चय के रूप में]] | |||
|- | |- | ||
| | | | ||
| | | | ||
|Power Set | |Power Set | ||
|Ramamurthy | |||
Mani | |||
| | |||
|[[घात समुच्चय]] | |||
|- | |||
| | |||
| | |||
|6.Universal Set | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[सार्वत्रिक समुच्चय]] | |||
|- | |||
| | |||
| | |||
|7.Venn Diagrams | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[वेन आरेख]] | |||
|- | |||
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| | |||
|8.Operations on Sets | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[समुच्चयों पर संक्रियाएँ]] | |||
|- | |||
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|9. Complement of a Set | |||
|Mani | |||
| | |||
|[[समुच्चय का पूरक]] | |||
|- | |||
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| | |||
|Sequences | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[अनुक्रम]] | |||
|- | |||
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| | |||
|8.1 Union of sets | |||
|Mani | |||
| | |||
|[[सम्मिलन(समुच्चय)]] | |||
|- | |||
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| | |||
|8.2 Intersection of sets | |||
|Mani | |||
| | |||
|[[सर्वनिष्ट(समुच्चय)]] | |||
|- | |||
| | |||
| | |||
|8.3 Difference of sets | |||
|Mani | |||
| | |||
|[[समुच्चयों का अंतर]] | |||
|- | |||
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|- | |||
|2 | |||
|Relations and Functions | |||
|1.Cartesian Product of Sets | |||
|Ramamurthy | |||
Mani | |||
|संबंध और फलन | |||
|[[समुच्चयों का कार्टेशियन गुणन]] | |||
|- | |||
| | |||
| | |||
|2.Relations | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[संबंध]] | |||
|- | |||
| | |||
| | |||
|3.Functions | |||
|Mani | |||
| | |||
|[[फलन]] | |||
|- | |||
| | |||
| | |||
|3.1. Some functions and their graphs | |||
|Mani | |||
| | |||
|[[कुछ फलन और उनके आलेख]] | |||
|- | |||
| | |||
| | |||
|3.2 Algebra of real functions | |||
|Mani | |||
| | |||
|[[वास्तविक फलनों का बीजगणित]] | |||
|- | |||
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|- | |||
|3 | |||
|Trignometric Functions | |||
|1.Angles | |||
|Ramamurthy | |||
Mani | |||
|त्रिकोणमितीय फलन | |||
|[[कोण]] | |||
|- | |||
| | |||
| | |||
|1.1 Degree Measure | |||
|Mani | |||
| | |||
|[[डिग्री माप]] | |||
|- | |||
| | |||
| | |||
|1.2 Radian Measure | |||
|Mani | |||
| | |||
|[[रेडियन माप]] | |||
|- | |||
| | |||
| | |||
|1.4 Relation between degree and radian | |||
|Mani | |||
| | |||
|[[डिग्री और रेडियन के बीच संबंध]] | |||
|- | |||
| | |||
| | |||
|2.Trigonometric Functions | |||
|Mani | |||
| | |||
|[[त्रिकोणमितीय फलन]] | |||
|- | |||
| | |||
| | |||
|2.1 Sign of trigonometric functions | |||
|Mani | |||
| | |||
|[[त्रिकोणमितीय फलनों का चिह्न]] | |||
|- | |||
| | |||
| | |||
|3.Trigonometric Functions of Sum and Difference of Two Angles | |||
|Mani | |||
| | |||
|[[दो कोणों के योग और अंतर का त्रिकोणमितीय फलन]] | |||
|- | |||
| | |||
| | |||
|Trigonometric Equations | |||
|Mani | |||
| | |||
|[[त्रिकोणमितीय समीकरण]] | |||
|- | |||
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|- | |||
|4 | |||
|Principle of Mathematical Induction | |||
|Motivation | |||
|Mani | |||
|गणितीय आगमन का सिद्धांत | |||
|[[प्रेरणा]] | |||
|- | |||
| | |||
| | |||
|The Principle of Mathematical Induction | |||
|Mani | |||
| | |||
|[[गणितीय आगमन का सिद्धांत]] | |||
|- | |||
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| | |||
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|- | |||
|5 | |||
|Complex Numbers and Quadratic Equations | |||
|1.Complex Numbers | |||
|Ramamurthy | |||
Mani | |||
|सम्मिश्र संख्याएँ और द्विघातीय समीकरण | |||
|[[सम्मिश्र संख्याएँ]] | |||
|- | |||
| | |||
| | |||
|2.Algebra of Complex Numbers | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[सम्मिश्र संख्याओं का बीजगणित]] | |||
|- | |||
| | |||
| | |||
|3.The Modulus and the Conjugate of a Complex Number | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[सम्मिश्र संख्या का मापांक और संयुग्मी]] | |||
|- | |||
| | |||
| | |||
|4.Argand Plane and Polar Representation | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[आर्गंड तल और ध्रुवीय निरूपण]] | |||
|- | |||
| | |||
| | |||
|Quadratic Equations | |||
|Mani | |||
| | |||
|[[द्विघातीय समीकरण]] | |||
|- | |||
| | |||
| | |||
|Linear equations | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[रैखिक समीकरण]] | |||
|- | |||
| | |||
| | |||
|Additive Inverse | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[योगात्मक प्रतिलोम]] | |||
|- | |||
| | |||
| | |||
|Additive Identity | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[योगात्मक तत्समक]] | |||
|- | |||
| | |||
| | |||
|Multiplicative identity | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[गुणात्मक तत्समक]] | |||
|- | |||
| | |||
| | |||
|Multiplicative inverse | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[गुणात्मक प्रतिलोम]] | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
|6 | |||
|Linear Inequalities | |||
|Inequalities | |||
|Mani | |||
|रैखिक असमिकाएँ | |||
|[[असमिकाएँ]] | |||
|- | |||
| | |||
| | |||
|Algebraic Solutions of Linear Inequalities in One Variable and | |||
their Graphical Representation | |||
|Mani | |||
| | |||
|[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]] | |||
|- | |||
| | |||
| | |||
|Graphical Solution of Linear Inequalities in Two Variables | |||
|Mani | |||
| | |||
|[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]] | |||
|- | |||
| | |||
| | |||
|Solutions of System of Linear Inequalities in Two Variables | |||
|Mani | |||
| | | | ||
| | |[[दो चर राशियों की असमिका निकाय का हल]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
|- | |||
|7 | |||
|Permutations and Combinations | |||
|Fundamental Principle of Counting | |||
|Mani | |||
|क्रमचय और संचय | |||
|[[गणना का आधारभूत सिद्धांत]] | |||
|- | |- | ||
| | | | ||
| | | | ||
| | |Permutations | ||
|Mani | |||
| | | | ||
| | |[[क्रमचय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | |Combinations | ||
|Mani | |||
| | | | ||
| | |[[संचय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
|- | |||
|8 | |||
|Binomial Theorem | |||
|Binomial Theorem for Positive Integral Indices | |||
|Mani | |||
|द्विपद प्रमेय | |||
|[[धन पूर्णांकों के लिए द्विपद प्रमेय]] | |||
|- | |||
| | |||
| | |||
|General and Middle Terms | |||
|Mani | |||
| | |||
|[[व्यापक एवं मध्य पद]] | |||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
|दो | | | ||
| | |||
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|- | |||
|9 | |||
|Sequences and Series | |||
|Sequences | |||
|Ramamurthy Mani | |||
|अनुक्रम तथा श्रेणी | |||
|[[अनुक्रम]] | |||
|- | |||
| | |||
| | |||
|Series | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[श्रेणी]] | |||
|- | |||
| | |||
| | |||
|Arithmetic Progression(A.P) | |||
|Mani | |||
| | |||
|[[समांतर श्रेढ़ी]] | |||
|- | |||
| | |||
| | |||
|Geometric Progression(G.P) | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[गुणोत्तर श्रेढ़ी]] | |||
|- | |||
| | |||
| | |||
|Relationship between A.M and G.M | |||
|Ramamurthy | |||
Mani | |||
| | |||
|[[समांतर माध्य और गुणोत्तर माध्य के बीच संबंध]] | |||
|- | |||
| | |||
| | |||
|Sum to n terms of Special Series | |||
|Mani | |||
| | |||
|[[विशेष अनुक्रमों के n पदों का योगफल]] | |||
|- | |||
| | |||
| | |||
|Fibonacci Sequence | |||
|Ramamurthy Mani | |||
| | |||
|[[फिबोनाची अनुक्रम]] | |||
|- | |||
| | |||
| | |||
|Arithmetic Mean | |||
|Jaya Agarwal | |||
| | |||
|[[समांतर माध्य]] | |||
|- | |||
| | |||
| | |||
|Geometric Mean | |||
|Mani | |||
| | |||
|[[गुणोत्तर माध्य]] | |||
|- | |||
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|- | |||
|10 | |||
|Straight Lines | |||
|Slope of a Line | |||
|Mani | |||
|सरल रेखाएं | |||
|[[रेखा की ढाल]] | |||
|- | |||
| | |||
| | |||
|Various Forms of the Equations of a Line | |||
|Mani | |||
| | |||
|[[रेखा के समीकरणों के विविध रूप]] | |||
|- | |||
| | |||
| | |||
|General Equations of a Line | |||
|Mani | |||
| | |||
|[[रेखा का व्यापक समीकरण]] | |||
|- | |||
| | |||
| | |||
|Distance of a Point from a Line | |||
|Mani | |||
| | |||
|[[एक बिंदु की रेखा से दूरी]] | |||
|- | |||
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|- | |||